JEE Main Projectile Motion: (45°+α) vs (45°−α) Concept 💡
❓ Concept 🎬 Projectile at (45° ± α) — Time of Flight Ratio in 59 Sec Dono projectiles same speed se chhode gaye… bas angle ek thoda upar , ek thoda neeche — phir bhi time of flight alag kyun hota hai? ⏳🤔 👉 Reason simple hai: Time of flight sinθ par depend karta hai , na ki range wale sin 2 θ \sin 2\theta par. 🖼️ Concept Image ✍️ Short Explanation Is concept ko pakad liya, toh JEE ke symmetry-based projectile questions seconds mein clear ho jaate hain 😎 Bas yaad rakho: time = vertical motion ka game . 🔹 Step 1 — Time of Flight Formula (FOUNDATION 💯)** Ground-to-ground projectile ke liye: T = 2 u sin θ g 📌 Key takeaway: u u same hai g g same hai Time of flight sirf sin θ \sin\theta par depend karta hai 🔹 Step 2 — Angles Given θ 1 = 45 ∘ + α , θ 2 = 45 ∘ − α So: T 1 ∝ sin ( 45 ∘ + α ) , T 2 ∝ sin ( 45 ∘ − α ) 👉 Ratio nikaalne ke liye constants cancel ho jaate hain. 🔹 Step 3 — Golden Trig Identity (VERY...